MATH 141 - PRECALCULUS

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• CLASS ANNOUNCEMENTS

• FREE ONLINE BOOK (“PRECALCULUS DEMYSTIFIED”): http://libraryproxy.sdmesa.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=138326&site=ehost-live

• ALEKS EXTRA CREDIT!

(This review can especially help with the very difficult Quiz 1A.)

• YOU CAN PAY FOR AN ALEKS LICENSE. http://www.aleks.com

• I CAN SEND YOU A CLASS CODE. Email me

• GETTING STARTED: ALEKS: Getting Started (.pdf) … Orientation Quick Tips (.pdf) … Orientation PowerPoint (.ppt) … Registration - No Code

• IF YOU LIKE ALEKS, BUT YOU FIND THE PACE IN 141 TO BE TOO FAST, TRY THE MATH 15s!

They’re great, 1-unit, online, ALEKS-based, self-paced refreshers that have helped many students. 15E is trig; 15F is college algebra. A “no-pass” does not affect GPA, though it does appear on your transcript; it’s mostly a problem if you’re on academic probation. 15E includes 15D (geometry). Instead of enrolling in both 15E and 15F, contact the instructor, and s/he may be able to make arrangements with you to just enroll in one Precalculus class, though you may be facing material you haven’t seen yet.

These are offered a couple of times throughout the semester. You could take more than one in one semester! Get a good foundation for your classes!

http://schedule.sdccd.edu/

• TEST-TAKING TIPS; REDUCING TEST ANXIETY: Test.html … Test.pdf (pdf file)

• FREE MATH AND SCIENCE WORKSHOPS! http://www.sdmesa.edu/STEMworkshops

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• VIDEOS; CLASS & HOMEWORK SCHEDULE (tentative; updated frequently; check regularly)

• My Schedule: Poster.pdf

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• Printing Suggestions for Typed Files

I recommend two-page-to-a-side and/or double-sided printing to save paper. Color printing is nice, but B&W printing is cheaper.

These are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is compatible with your system!

• Class Notes

• Many students benefit from printing the notes for a lecture beforehand, reviewing them, and commenting on them in class.

• You may want to take personalized “sketch notes” in class.

Creative Commons License: For “attribution,” simply mention my name and/or web URL somewhere if you’re using huge chunks of the notes. I simply want due credit.

• CORRECTION to 1.2.3! In the middle of page 1.2.3, -9 (instead of 9) is not in the domain of f.

Notes for Quiz 1A and Quiz 1B (last revised 1/27/13)

• Chapter 0: Preliminary Topics: (last revised 1/27/13)

• NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11): https://www.youtube.com/watch?v=IfpkQVyqK7c

 • Chapter 1: Functions

• MATH DANCES FOR GRAPHING!

• http://9gag.com/gag/4419992/do-the-math-dance (correction: x^2 + y^2 = r^2)

• http://www.seyedrezabazyar.com/fa/math-dances/

• https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/ (see the dance!)

• (The following notes will be revised for later semesters. Section and page references may be inconsistent with the new Chapters 0 and 1. Please Email me with comments/suggestions.)

Notes for Midterm 2

• Chapter 2: Polynomial and Rational Functions

• Chapter 3: Exponential and Logarithmic Functions

• CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH: https://www.youtube.com/watch?v=6z8IK4dj_uY … https://www.youtube.com/watch?v=vCzvH9nLZYA

• WATCH “THE SIMPSONS!”: http://www.youtube.com/watch?v=bZivCw3bB6w

Notes for Midterm 3

• Chapter 4: Trigonometry

• Basic Trig IDs (handout in class): Basic Trig IDs (revised from 5.1 notes: 3/8/18)

• VISUALIZING THE SIX BASIC TRIG FUNCTIONS:

http://www.kkuniyuk.com/TrigSixParts.pdf (revised 2/11/06)

http://imgur.com/oSq3D5j?r

Notes for Midterm 4

• Chapter 5: Analytic Trigonometry

• More Trig IDs (handout in class): Handout.

• Chapter 6: Additional Topics in Trigonometry

• KHAN ACADEMY ON EULER’S FORMULA. (Do you have emotion?)

https://www.youtube.com/watch?v=mgNtPOgFje0

Notes for Final

• Chapter 7: Systems of Equations and Inequalities

• Chapter 8: Matrices and Determinants

• Chapter 9: Discrete Math

• SECTION 9.4: KHAN ACADEMY ON INDUCTION: https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

• SECTION 9.5: VIDEOS AND PASCAL’S TRIANGLE MAGIC: CLICK ON Notes for Final

• Chapter 10: Conics and Polar Coordinates [as time permits] (Ch.10 is mostly handwritten.)

• ANIMATION ON CONICS

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The double-nappe cone (or simply “cone”) here should not be thought of as finite, so there are no “bases” and there is no “base perimeter.” The term “directrix” is used elsewhere, especially when describing parabolas.

• In previous semesters, the final was cumulative. For your information, here was the outline provided: Math141OldFinalOutline.pdf

• Syllabus (Fall 2018): Syllabus

• Homework Assignments

• Printed hard copies of these will be provided in class.

GO THROUGH MY HOME PAGE (OR SEE ME) IF YOU'D LIKE TO KEEP YOUR NAME "PRIVATE" ON YOUR HOMEWORK.

• FALL 2018:

Instructions

#1-A: HW … Answers … (Ch.0 in my notes) (9 points) … (revised 1/19/16)

#1-B: HW … Answers … (Ch.1) (6 points) … (revised 9/3/15)

#2: HW … Answers … (Chs.2 and 3) (15 points) … (revised 9/16/16)

#3: HW … Answers … (Ch.4) (15 points) … (revised 10/27/12)

#4: HW … Answers … (Chs.5 and 6) (15 points) … (revised 4/1/17 – minor edits)

#5: HW … Answers … (Chs.7-10) (25 points). (revised 5/1/18 – minor edit)

PolarGraphPaper (Ch.10; created using Mathematica with Microsoft Word)

• Old Exams and Solutions (Spring 2018)

• Disclaimer: Your exams might look very different from these! Lengths of exam times may be different.

• If your printer is broken, you can ask me for printed hard copies in my office hours.

Quiz 1A … Solutions (1 hour and 15 minutes)

• Chapter 0: Preliminary Topics

Quiz 1B … Solutions (45 minutes)

• Chapter 1: Functions

Midterm #2 … Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

• Chapter 2: Polynomial and Rational Functions

• Chapter 3: Exponential and Logarithmic Functions

Midterm #3 … Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2)

• Chapter 4: Trigonometry

Midterm #4 … Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2)

• Chapter 5: Analytic Trigonometry

• Chapter 6: Additional Topics in Trigonometry

Final … Solutions (2 hours and 20 minutes). Material covered in later terms may differ.

• Chapter 7: Systems of Equations [and Inequalities] (Sections 7.5, 7.6 not on Final.)

• Chapter 8: Matrices and Determinants (Sections 8.3, 8.5 not on Final.)

• Chapter 9: Discrete Math

• Chapter 10: Conics and Polar Coordinates (Chapter 10 not on Final for Spring 2018. Should be on Fall 2018 Final.)

• Current Exams and Solutions (Fall 2018)

Quiz 1A … Solutions (1 hour and 15 minutes)

• Chapter 0: Preliminary Topics

• Exams and solutions will be posted about a week after you take them.

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